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10663821312 = 216373743
BaseRepresentation
bin10011110111001110…
…10000000000000000
31000112011212020202220
421323213100000000
5133314414240222
64522054411040
7525154662024
oct117347200000
930464766686
1010663821312
1145824a3871
122097360a80
13100c3a0451
147323a0384
154262d5b5c
hex27b9d0000

10663821312 has 136 divisors (see below), whose sum is σ = 28864979904. Its totient is φ = 3501195264.

The previous prime is 10663821277. The next prime is 10663821331. The reversal of 10663821312 is 21312836601.

It is a super-2 number, since 2×106638213122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14352013 + ... + 14352755.

Almost surely, 210663821312 is an apocalyptic number.

10663821312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10663821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432489952).

10663821312 is an abundant number, since it is smaller than the sum of its proper divisors (18201158592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10663821312 is an frugal number, since it uses more digits than its factorization.

10663821312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10663821312 in words is "ten billion, six hundred sixty-three million, eight hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 743 768 876 1024 1168 1486 1536 1752 2048 2229 2336 2972 3072 3504 4096 4458 4672 5944 6144 7008 8192 8916 9344 11888 12288 14016 16384 17832 18688 23776 24576 28032 32768 35664 37376 47552 49152 54239 56064 65536 71328 74752 95104 98304 108478 112128 142656 149504 162717 190208 196608 216956 224256 285312 299008 325434 380416 433912 448512 570624 598016 650868 760832 867824 897024 1141248 1196032 1301736 1521664 1735648 1794048 2282496 2392064 2603472 3043328 3471296 3588096 4564992 4784128 5206944 6086656 6942592 7176192 9129984 10413888 12173312 13885184 14352384 18259968 20827776 24346624 27770368 36519936 41655552 48693248 55540736 73039872 83311104 111081472 146079744 166622208 222162944 333244416 444325888 666488832 888651776 1332977664 1777303552 2665955328 3554607104 5331910656 10663821312